2712982400 has 96 divisors (see below), whose sum is σ = 7096286880. Its totient is φ = 1021337600.

The previous prime is 2712982369. The next prime is 2712982471. The reversal of 2712982400 is 42892172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29465 + ... + 79335.

It is an arithmetic number, because the mean of its divisors is an integer number (73919655).

Almost surely, 2^2712982400 is an apocalyptic number.

2712982400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548143440).

2712982400 is an abundant number, since it is smaller than the sum of its proper divisors (4383304480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2712982400 is a wasteful number, since it uses less digits than its factorization.

2712982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49912 (or 49895 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2712982400 is about 52086.2976223114. The cubic root of 2712982400 is about 1394.7048959750.

The spelling of 2712982400 in words is "two billion, seven hundred twelve million, nine hundred eighty-two thousand, four hundred".